Could you please check these thanks for your time.
Directions: Arrange the terms of each polynomial so that the powers of x are in ascending order.
1. 5+x^5+2x^3+4x
Answer: 5+4x+2x^3+x^5
2. x^2y^4+x^5y^3+xy^2+x^3y
Answer: xy^2+x^2y^4+x^3y+x^5y^3
Those answers are correct.
To arrange the terms of each polynomial so that the powers of x are in ascending order, you need to rewrite the polynomial by rearranging the terms based on the powers of x.
1. Polynomial: 5 + x^5 + 2x^3 + 4x
To arrange this polynomial in ascending order of the powers of x, you simply rearrange the terms:
5 + 4x + 2x^3 + x^5
2. Polynomial: x^2y^4 + x^5y^3 + xy^2 + x^3y
To arrange this polynomial in ascending order of the powers of x, you rearrange the terms:
xy^2 + x^2y^4 + x^3y + x^5y^3
By following these steps, you can arrange the terms of a polynomial so that the powers of x are in ascending order.